Executives at Gammon & Ninowski Media Investments, a top television station brokerage, believe that the current average price for an independent television station in the United States is $125...

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Executives at Gammon & Ninowski Media Investments, a top television station brokerage, believe that the current average price for an independent television station in the United States is $125 million. An analyst at the firm wants to check whether the executives’ claim is true. The analyst has no prior suspicion that the claim is incorrect in any particular direction and collects a random sample of 25 independent TV stations around the country. The results are (in millions of dollars) 233, 128, 305, 57, 89, 45, 33, 190, 21, 322, 97, 103, 132, 200, 50, 48, 312, 252, 82, 212, 165, 134, 178, 212, 199. Test the hypothesis that the average station price nationwide is $125 million versus the alternative that it is not $125 million. Use a significance level of your choice.




Answered Same DayDec 25, 2021

Answer To: Executives at Gammon & Ninowski Media Investments, a top television station brokerage, believe that...

Robert answered on Dec 25 2021
135 Votes
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Test: µ 6= 125 with t distn
Hypothesis test:
H0 : µ =
125 (Null Hypothesis)
Ha : µ 6= 125 (Alternative Hypothesis, also called H1)
This is two tailed test.
Given Data:
233, 128, 305, 57, 89, 45, 33, 190, 21, 322, 97, 103, 132, 200, 50, 48, 312, 252,
82, 212, 165, 134, 178, 212, 199
We calculate sample mean and std deviation from given data.
Sample Mean, x̄ =

(x)
n
= 379925 = 151.96
Sample Variance, s2 =

(x− x̄)2
n− 1 =
197082.96
24 = 8211.79
Sample std...
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